10011001101077 has 2 divisors, whose sum is σ = 10011001101078. Its totient is φ = 10011001101076.

The previous prime is 10011001100983. The next prime is 10011001101107. The reversal of 10011001101077 is 77010110011001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9290054065681 + 720947035396 = 3047959^2 + 849086^2 .

It is an emirp because it is prime and its reverse (77010110011001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10011001101077 - 2¹⁸ = 10011000838933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10011001101377) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5005500550538 + 5005500550539.

It is an arithmetic number, because the mean of its divisors is an integer number (5005500550539).

Almost surely, 2^{10011001101077} is an apocalyptic number.

It is an amenable number.

10011001101077 is a deficient number, since it is larger than the sum of its proper divisors (1).

10011001101077 is an equidigital number, since it uses as much as digits as its factorization.

10011001101077 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49, while the sum is 20.

Adding to 10011001101077 its reverse (77010110011001), we get a palindrome (87021111112078).

The spelling of 10011001101077 in words is "ten trillion, eleven billion, one million, one hundred one thousand, seventy-seven".